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Finding the Third Proportional to 118,314 and 257,364

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Solution

The third proportional to 118,314 and 257,364 is: 559,834.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,314 : 257,364 = 257,364 : x
  2. Step 2: Convert to fraction form
    118,314/257,364 = 257,364/x
  3. Step 3: Cross multiply
    118,314x = 257,364 × 257,364
  4. Step 4: Simplify right side
    118,314x = 66,236,228,496
  5. Step 5: Solve for x
    x = 66,236,228,496/118,314
  6. Step 6: Final answer
    x = 559,834.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.